f(x) = sin(x) + x

f_k'

f_k''

h(x) = cos(x) + x

g(x) = -sin(x) + x

i(x) = -cos(x) + x

u(x) = sin(x)

v(x) = cos(x)

a = true
f(x) = sin(x) + x
b = false
c = false
h(x) = cos(x) + x
d = false
g(x) = (-sin(x)) + x
i(x) = (-cos(x)) + x
e = false
j = false
u(x) = sin(x)
v(x) = cos(x)
k = false
l = false
g1(x) = f(x - pi) + pi